Question

An expression for oscillating electric field in a plane electromagnetic wave is given as E_z = 300 sin(5π × 10³x - 3π × 10¹¹t)Vm^-1 Then, the value of magnetic field amplitude will be ______. (Given: speed of light in Vacuum c = 3 × 10⁸ ms^-1)

Options

• 1 × 10^-6 T

• 5 × 10^-6 T

• 18 × 10⁹ T

• 21 × 10⁹ T

Answer 1

An expression for oscillating electric field in a plane electromagnetic wave is given as E_z = 300 sin(5π × 10³x - 3π × 10¹¹t)Vm^-1 Then, the value of magnetic field amplitude will be 5 × 10^-6 T. (Given: speed of light in Vacuum c = 3 × 10⁸ ms^-1)

Explanation:

We know that, 

B₀ = `"E"_0/"V"=300/("w"/"k")`

= `(300xx5pixx10^3)/(3pixx10^11)`

= 5 × 10^-6 T